It is definitely not forsythia (your plant shown has entire leaf margins). I agree with sallyg that it favors privet (Ligustrum spp.), of which there are probably several species commonly found around your neck of the woods.
Are there privets that don't have flowers and berries though? I'm only familiar with the ones that I see around here (not sure which species, I think maybe texanum?) and they all have flowers and berries.
My neighbors have some privets bordering my yard, which are now in a lot of shade. They flower very sparsely, and you could easily miss it. I've never noticed berries on them. Glossy and soft sounds right for privet leaves. I'm thinking of the common hedge plant which I thought was asian originally.